Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553b |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
116984851369231793 = 173 · 478 |
Discriminant |
Eigenvalues |
-1 2 0 -2 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-260708,-48630620] |
[a1,a2,a3,a4,a6] |
Generators |
[-736418160:2938307975:2985984] |
Generators of the group modulo torsion |
j |
181802454625/10852817 |
j-invariant |
L |
5.0850554032566 |
L(r)(E,1)/r! |
Ω |
0.21206981005223 |
Real period |
R |
7.9927381805786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
799b1 |
Quadratic twists by: -47 |